Question
Simplify:
5x - [4y - {7x - (3z - 2y) + 4z - 3(x + 3y - 2z)}]
5x - [4y - {7x - (3z - 2y) + 4z - 3(x + 3y - 2z)}]
✓
Answer
Removing the innermost grouping symbol ( ) first, then { } and then [ ], we have:
5x - [4y - {7x - (3z - 2y) + 4z - 3(x + 3y - 2z)}]
= 5x - [4y - {7x - 3z + 2y + 4z - 3x - 9y + 6z}]
= 5x - [4y - {4x + 7z - 7y}]
= 5x - [4y - 4x - 7z + 7y]
= 5x - [11y - 4x - 7z]
= 5x - 11y + 4x + 7z
= 9x - 11y + 7z
5x - [4y - {7x - (3z - 2y) + 4z - 3(x + 3y - 2z)}]
= 5x - [4y - {7x - 3z + 2y + 4z - 3x - 9y + 6z}]
= 5x - [4y - {4x + 7z - 7y}]
= 5x - [4y - 4x - 7z + 7y]
= 5x - [11y - 4x - 7z]
= 5x - 11y + 4x + 7z
= 9x - 11y + 7z
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